Answer all questions with detailed explanation

P3. (7 points) Linear regression a) (1pt) Write the mathematical definition of a linear statistical model. b) (3pt) Sketch an example of data and a linear statistical model on a graph. Use the plot to show the meaning of the residual. (1pt data, 1pt model, 1pt residual) c) (1pt) Write the formula associated to the slope for the best-fit line. d) (1pt) Write the formula associated to the intercept for the best-fit line. e) (1pt) A given data set is transformed using the method of reciprocals, and now the data displays a linear trend. What mathematical model best describes the original data? Linear, exponential, power(allometric), or Michaelis Menten model?Use the dataset in Table 1 for the problems listed below. Year 1 2 3 4 Temperature (F) 65 76 67 82 69 Table 1: Year and Temperature data for San Diego